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Finding the Fourth Proportional to 77,573.91, 116,344.53 and 35,442.03

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Solution

The fourth proportional to 77,573.91, 116,344.53 and 35,442.03 is: 53,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,573.91 : 116,344.53 = 35,442.03 : x
  2. Step 2: Convert to fraction form
    77,573.91/116,344.53 = 35,442.03/x
  3. Step 3: Cross multiply
    77,573.91x = 116,344.53 × 35,442.03
  4. Step 4: Simplify right side
    77,573.91x = 4,123,486,322.60
  5. Step 5: Solve for x
    x = 4,123,486,322.60/77,573.91
  6. Step 6: Final answer
    x = 53,155.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.